Nope she doent have wings. So she can swim thats her dream and it came true
She gave up her wings to save Mother Dove's egg in Fairy Dust and the Quest for the Egg. When Mother Dove's egg is safely under her and heathy Mother Dove sheds magical feathers that make pixie dust for Pixie Hollow. Egg unheathy or broken = no feathers no feathers = no pixie dust = no pixie dust = no flying ( no fun )
( very complicated mathematical equation :P )